Lake point tower in chicago is the tallest apartment building in the united states. suppose you take the elevator from street level to the roof of the building. the elevator moves almost the entire distance at constant speed, so that it does 1.15x10^5j of work on you as it lifts the entire distance. if your mass is 60.0 kg how tall is the building.

Answer :

Using the idea of work done under gravity, the height of the building is 187 m.

Work done in a gravitational field

We must recall that the work done in a gravitational field is given by; mgh

m= mass

g = acceleration due to gravity

h = height

mass = 60.0 kg

Workdone = 1.15x10^5 J

W = mgh

h = W/mg

h =  1.15x10^5 J/60.0 kg * 9.8 ms-2

h = 187 m

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